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High School Math Geometry Geometry, Student Edition

Explain whether the sides of the frame are parallel.

Explain whether the sides of the frame are parallel.

Geometry, Student Edition

Geometry, Student Edition

1st Edition

ISBN: 9780078884849

Author: McGraw-Hill, McGraw Hill

Publisher: Glencoe/McGraw-Hill School Pub Co

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In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which…

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Question

Chapter 3.5, Problem 22PPS

To determine

Explain whether the sides of the frame are parallel.

Expert Solution & Answer

Answer to Problem 22PPS

The sides of the frame are parallel.

Explanation of Solution

Given:

Each of the four pieces of framing material is cut at a 45° angle and joined to form the wooden picture frame.

Calculation :

Draw the diagram:

Geometry, Student Edition, Chapter 3.5, Problem 22PPS

When two 45° angle pieces are joined together, they form an angle of 90° .

So, if we take any two sides , the third side acts as a transversal and the sum of the two consecutive interior angles will be 180° .

When a transversal intersects two lines , the two lines are parallel if and only if the sum of consecutive interior angles is 180° .

Hence, the sides of the frame will be parallel.

Chapter 3.5, Problem 21PPS

Chapter 3.5, Problem 23PPS

Chapter 3 Solutions

Geometry, Student Edition

Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 1CCYP Ch. 3.1 - Prob. 2ACYP Ch. 3.1 - Prob. 2BCYP Ch. 3.1 - Prob. 2CCYP Ch. 3.1 - Prob. 2DCYP Ch. 3.1 - Prob. 3ACYP Ch. 3.1 - Prob. 3BCYP Ch. 3.1 - Prob. 3CCYP

Ch. 3.1 - Prob. 3DCYP Ch. 3.1 - Prob. 1CYU Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42PPS Ch. 3.1 - Prob. 43PPS Ch. 3.1 - Prob. 44PPS Ch. 3.1 - Prob. 45PPS Ch. 3.1 - Prob. 46HP Ch. 3.1 - Prob. 47HP Ch. 3.1 - Prob. 48HP Ch. 3.1 - Prob. 49HP Ch. 3.1 - Prob. 50HP Ch. 3.1 - Prob. 51STP Ch. 3.1 - Prob. 52STP Ch. 3.1 - Prob. 53STP Ch. 3.1 - Prob. 54STP Ch. 3.1 - Prob. 55SPR Ch. 3.1 - Prob. 56SPR Ch. 3.1 - Prob. 57SPR Ch. 3.1 - Prob. 58SPR Ch. 3.1 - Prob. 59SPR Ch. 3.1 - Prob. 60SPR Ch. 3.1 - Prob. 61SR Ch. 3.1 - Prob. 62SR Ch. 3.1 - Prob. 63SR Ch. 3.2 - Prob. 1ACYP Ch. 3.2 - Prob. 1BCYP Ch. 3.2 - Prob. 1CCYP Ch. 3.2 - Prob. 2ACYP Ch. 3.2 - Prob. 2BCYP Ch. 3.2 - Prob. 3ACYP Ch. 3.2 - Prob. 3BCYP Ch. 3.2 - Prob. 1CYU Ch. 3.2 - Prob. 2CYU Ch. 3.2 - Prob. 3CYU Ch. 3.2 - Prob. 4CYU Ch. 3.2 - Prob. 5CYU Ch. 3.2 - Prob. 6CYU Ch. 3.2 - Prob. 7CYU Ch. 3.2 - Prob. 8CYU Ch. 3.2 - Prob. 9CYU Ch. 3.2 - Prob. 10CYU Ch. 3.2 - Prob. 11PPS Ch. 3.2 - Prob. 12PPS Ch. 3.2 - Prob. 13PPS Ch. 3.2 - Prob. 14PPS Ch. 3.2 - Prob. 15PPS Ch. 3.2 - Prob. 16PPS Ch. 3.2 - Prob. 17PPS Ch. 3.2 - Prob. 18PPS Ch. 3.2 - Prob. 19PPS Ch. 3.2 - Prob. 20PPS Ch. 3.2 - Prob. 21PPS Ch. 3.2 - Prob. 22PPS Ch. 3.2 - 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Prob. 4CYP Ch. 3.3 - Prob. 1CYU Ch. 3.3 - Prob. 2CYU Ch. 3.3 - Prob. 3CYU Ch. 3.3 - Prob. 4CYU Ch. 3.3 - Prob. 5CYU Ch. 3.3 - Prob. 6CYU Ch. 3.3 - Prob. 7CYU Ch. 3.3 - Prob. 8CYU Ch. 3.3 - Prob. 9CYU Ch. 3.3 - Prob. 10CYU Ch. 3.3 - Prob. 11CYU Ch. 3.3 - Prob. 12PPS Ch. 3.3 - Prob. 13PPS Ch. 3.3 - Prob. 14PPS Ch. 3.3 - Prob. 15PPS Ch. 3.3 - Prob. 16PPS Ch. 3.3 - Prob. 17PPS Ch. 3.3 - Prob. 18PPS Ch. 3.3 - Prob. 19PPS Ch. 3.3 - Prob. 20PPS Ch. 3.3 - Prob. 21PPS Ch. 3.3 - Prob. 22PPS Ch. 3.3 - Prob. 23PPS Ch. 3.3 - Prob. 24PPS Ch. 3.3 - Prob. 25PPS Ch. 3.3 - Prob. 26PPS Ch. 3.3 - Prob. 27PPS Ch. 3.3 - Prob. 28PPS Ch. 3.3 - Prob. 29PPS Ch. 3.3 - Prob. 30PPS Ch. 3.3 - Prob. 31PPS Ch. 3.3 - Prob. 32PPS Ch. 3.3 - Prob. 33PPS Ch. 3.3 - Prob. 34PPS Ch. 3.3 - Prob. 35PPS Ch. 3.3 - Prob. 36PPS Ch. 3.3 - Prob. 37PPS Ch. 3.3 - Prob. 38PPS Ch. 3.3 - Prob. 39PPS Ch. 3.3 - Prob. 40PPS Ch. 3.3 - Prob. 41PPS Ch. 3.3 - Prob. 42PPS Ch. 3.3 - Prob. 43PPS Ch. 3.3 - Prob. 44PPS Ch. 3.3 - Prob. 45PPS Ch. 3.3 - 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Prob. 12CYU Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24PPS Ch. 3.4 - Prob. 25PPS Ch. 3.4 - Prob. 26PPS Ch. 3.4 - Prob. 27PPS Ch. 3.4 - Prob. 28PPS Ch. 3.4 - Prob. 29PPS Ch. 3.4 - Prob. 30PPS Ch. 3.4 - Prob. 31PPS Ch. 3.4 - Prob. 32PPS Ch. 3.4 - Prob. 33PPS Ch. 3.4 - Prob. 34PPS Ch. 3.4 - Prob. 35PPS Ch. 3.4 - Prob. 36PPS Ch. 3.4 - Prob. 37PPS Ch. 3.4 - Prob. 38PPS Ch. 3.4 - Prob. 39PPS Ch. 3.4 - Prob. 40PPS Ch. 3.4 - Prob. 41PPS Ch. 3.4 - Prob. 42PPS Ch. 3.4 - Prob. 43PPS Ch. 3.4 - Prob. 44PPS Ch. 3.4 - Prob. 45PPS Ch. 3.4 - Prob. 46PPS Ch. 3.4 - Prob. 47PPS Ch. 3.4 - Prob. 48PPS Ch. 3.4 - Prob. 49PPS Ch. 3.4 - Prob. 50PPS Ch. 3.4 - Prob. 51PPS Ch. 3.4 - Prob. 52PPS Ch. 3.4 - Prob. 53PPS Ch. 3.4 - Prob. 54PPS Ch. 3.4 - Prob. 55HP Ch. 3.4 - Prob. 56HP Ch. 3.4 - Prob. 57HP Ch. 3.4 - Prob. 58HP Ch. 3.4 - Prob. 59HP Ch. 3.4 - Prob. 60STP Ch. 3.4 - Prob. 61STP Ch. 3.4 - Prob. 62STP Ch. 3.4 - Prob. 63STP Ch. 3.4 - Prob. 64SPR Ch. 3.4 - Prob. 65SPR Ch. 3.4 - Prob. 66SPR Ch. 3.4 - Prob. 67SPR Ch. 3.4 - Prob. 68SPR Ch. 3.4 - Prob. 69SPR Ch. 3.4 - Prob. 70SR Ch. 3.4 - Prob. 71SR Ch. 3.4 - Prob. 72SR Ch. 3.4 - Prob. 73SR Ch. 3.5 - Prob. 1ACYP Ch. 3.5 - Prob. 1BCYP Ch. 3.5 - Prob. 1CCYP Ch. 3.5 - Prob. 1DCYP Ch. 3.5 - Prob. 1ECYP Ch. 3.5 - Prob. 1FCYP Ch. 3.5 - Prob. 2CYP Ch. 3.5 - Prob. 3CYP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8PPS Ch. 3.5 - Prob. 9PPS Ch. 3.5 - Prob. 10PPS Ch. 3.5 - Prob. 11PPS Ch. 3.5 - Prob. 12PPS Ch. 3.5 - Prob. 13PPS Ch. 3.5 - Prob. 14PPS Ch. 3.5 - Prob. 15PPS Ch. 3.5 - Prob. 16PPS Ch. 3.5 - Prob. 17PPS Ch. 3.5 - Prob. 18PPS Ch. 3.5 - Prob. 19PPS Ch. 3.5 - Prob. 20PPS Ch. 3.5 - Prob. 21PPS Ch. 3.5 - Prob. 22PPS Ch. 3.5 - Prob. 23PPS Ch. 3.5 - Prob. 24PPS Ch. 3.5 - Prob. 25PPS Ch. 3.5 - Prob. 26PPS Ch. 3.5 - Prob. 27PPS Ch. 3.5 - Prob. 28PPS Ch. 3.5 - Prob. 29PPS Ch. 3.5 - Prob. 30PPS Ch. 3.5 - Prob. 31PPS Ch. 3.5 - Prob. 32PPS Ch. 3.5 - Prob. 33PPS Ch. 3.5 - Prob. 34PPS Ch. 3.5 - Prob. 35PPS Ch. 3.5 - Prob. 36PPS Ch. 3.5 - Prob. 37HP Ch. 3.5 - Prob. 38HP Ch. 3.5 - Prob. 39HP Ch. 3.5 - Prob. 40HP Ch. 3.5 - Prob. 41HP Ch. 3.5 - Prob. 42HP Ch. 3.5 - Prob. 43HP Ch. 3.5 - Prob. 44STP Ch. 3.5 - Prob. 45STP Ch. 3.5 - Prob. 46STP Ch. 3.5 - Prob. 47STP Ch. 3.5 - Prob. 48SPR Ch. 3.5 - Prob. 49SPR Ch. 3.5 - Prob. 50SPR Ch. 3.5 - Prob. 51SPR Ch. 3.5 - Prob. 52SPR Ch. 3.5 - Prob. 53SPR Ch. 3.5 - Prob. 54SPR Ch. 3.5 - Prob. 55SPR Ch. 3.5 - Prob. 56SPR Ch. 3.5 - Prob. 57SR Ch. 3.6 - Prob. 1CYP Ch. 3.6 - Prob. 2CYP Ch. 3.6 - Prob. 3ACYP Ch. 3.6 - Prob. 3BCYP Ch. 3.6 - Prob. 1CYU Ch. 3.6 - Prob. 2CYU Ch. 3.6 - Prob. 3CYU Ch. 3.6 - Prob. 4CYU Ch. 3.6 - Prob. 5CYU Ch. 3.6 - Prob. 6CYU Ch. 3.6 - Prob. 7CYU Ch. 3.6 - Prob. 8CYU Ch. 3.6 - Prob. 9PPS Ch. 3.6 - Prob. 10PPS Ch. 3.6 - Prob. 11PPS Ch. 3.6 - Prob. 12PPS Ch. 3.6 - Prob. 13PPS Ch. 3.6 - Prob. 14PPS Ch. 3.6 - Prob. 15PPS Ch. 3.6 - Prob. 16PPS Ch. 3.6 - Prob. 17PPS Ch. 3.6 - Prob. 18PPS Ch. 3.6 - Prob. 19PPS Ch. 3.6 - Prob. 20PPS Ch. 3.6 - Prob. 21PPS Ch. 3.6 - Prob. 22PPS Ch. 3.6 - Prob. 23PPS Ch. 3.6 - Prob. 24PPS Ch. 3.6 - Prob. 25PPS Ch. 3.6 - Prob. 26PPS Ch. 3.6 - Prob. 27PPS Ch. 3.6 - Prob. 28PPS Ch. 3.6 - Prob. 29PPS Ch. 3.6 - Prob. 30PPS Ch. 3.6 - Prob. 31PPS Ch. 3.6 - Prob. 32PPS Ch. 3.6 - Prob. 33PPS Ch. 3.6 - Prob. 34PPS Ch. 3.6 - Prob. 35PPS Ch. 3.6 - Prob. 36PPS Ch. 3.6 - Prob. 37PPS Ch. 3.6 - Prob. 38PPS Ch. 3.6 - Prob. 39PPS Ch. 3.6 - Prob. 40PPS Ch. 3.6 - Prob. 41HP Ch. 3.6 - Prob. 42HP Ch. 3.6 - Prob. 43HP Ch. 3.6 - Prob. 44HP Ch. 3.6 - Prob. 45HP Ch. 3.6 - Prob. 46HP Ch. 3.6 - Prob. 47HP Ch. 3.6 - Prob. 48STP Ch. 3.6 - Prob. 49STP Ch. 3.6 - Prob. 50STP Ch. 3.6 - Prob. 51STP Ch. 3.6 - Prob. 52SPR Ch. 3.6 - Prob. 53SPR Ch. 3.6 - Prob. 54SPR Ch. 3.6 - Prob. 55SPR Ch. 3.6 - 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